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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 224, Pages 122–129
(Mi tm694)
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This article is cited in 9 scientific papers (total in 10 papers)
Ramified Characters of Idèle Groups of One-Class Quadratic Fields
V. S. Vladimirov
Abstract:
The necessary and sufficient conditions for the triviality of the ramified characters of the idèle group $A_d^\times $ of a one-class quadratic field $\mathbb Q(\sqrt d)$ on its multiplicative group $\mathbb Q^\times(\sqrt d)$ are established; i.e., the characters of the group $A_d^\times/\mathbb Q^\times(\sqrt d)$ are completely described.
Received in September 1998
Citation:
V. S. Vladimirov, “Ramified Characters of Idèle Groups of One-Class Quadratic Fields”, Algebra. Topology. Differential equations and their applications, Collection of papers dedicated to the 90th anniversary of academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 224, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 122–129; Proc. Steklov Inst. Math., 224 (1999), 107–114
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https://www.mathnet.ru/eng/tm694 https://www.mathnet.ru/eng/tm/v224/p122
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Abstract page: | 332 | Full-text PDF : | 90 | References: | 33 |
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